Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a + b)(a - b).

Front

Factor the expression: 5x² + 20

Back

5(x² + 4) is the factored form.

Front

What is the factored form of 49x² - 100?

Back

(7x - 10)(7x + 10) is the factored form.

Front

How do you factor out the greatest common factor (GCF)?

Back

To factor out the GCF, identify the largest factor common to all terms and divide each term by it.

Front

Factor the expression: 12x + 9

Back

3(4x + 3) is the factored form.

Front

What is the factored form of 25x² - 9?

Back

(5x + 3)(5x - 3) is the factored form.